Ilya Khayutin, Mathematics

About

I am a Veblen Research Instructor at Princeton University and the Institute for Advanced Study since 2016. Before that I was a PhD student at the Einstein Institute of Mathematics at the Hebrew University of Jerusalem under the guidance of Prof. Elon Lindenstrauss.

Research​

I work in number theory and homogeneous dynamics. My research revolves around equidistribution of arithmetic objects. This is a broad subject that requires a synthesis of ideas from different fields.

In a pursuit to understand equidistribution questions I am studying measure rigidity, arithmetic invariant theory, relative trace formulae and their geometric expansion, sieve methods in multiplicative number theory, subconvexity and large deviations estimates.

Teaching

In Fall 2018 I am teaching an advanced class about Ratner’s theorems and their applications in number theory.

Papers

Contact

email: last name@princeton.edu

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